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A tractor applies a force of 500 N to pull a trailer a distance of 3 km - Leaving Cert Physics - Question b - 2016

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A tractor applies a force of 500 N to pull a trailer a distance of 3 km. Calculate the work done by the tractor.

Worked Solution & Example Answer:A tractor applies a force of 500 N to pull a trailer a distance of 3 km - Leaving Cert Physics - Question b - 2016

Step 1

Calculate the work done by the tractor.

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Answer

To calculate the work done by the tractor, we use the formula:

W=FimesdW = F imes d

Where:

  • WW is the work done (in Joules),
  • FF is the force applied (in Newtons),
  • dd is the distance moved (in meters).

Here, the applied force F=500extNF = 500 ext{ N} and the distance d=3extkmd = 3 ext{ km}.

First, we need to convert the distance from kilometers to meters:

d=3extkm=3imes1000extm=3000extmd = 3 ext{ km} = 3 imes 1000 ext{ m} = 3000 ext{ m}

Now substitute the values into the work formula:

W=500extNimes3000extm=1500000extJW = 500 ext{ N} imes 3000 ext{ m} = 1500000 ext{ J}

Thus, the work done by the tractor is:

W=1.5imes106extJW = 1.5 imes 10^6 ext{ J}

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